Applied Dynamics [Hardcover]

Applied Dynamics is an important branch of engineering mechanics widely applied to mechanical and automotive engineering, aerospace and biomechanics as well as control engineering and mechatronics. The computational methods presented are based on common fundamentals. For this purpose analytical mechanics turns out to be very useful where DAlemberts principle in the Lagrangian formulation proves to be most efficient. The method of multibody systems, finite element systems and continuous systems are treated consistently. Thus, students get a much better understanding of dynamical phenomena, and engineers in design and development departments using computer codes may check the results more easily by choosing models of different complexity for vibration and stress analysis.

Introduction.- Purpose of applied dynamics.- Contribution of analytical mechanics.- Modeling of mechanical systems.- Multibody systems.- Finite-Element systems.- Continuous systems.- Flexible multibody systems.- Choice of a mechanical model.- Degrees of freedom.- Basics of kinematics.- Free systems.- Kinematics of a point.- Kinematics of the rigid body.- Kinematics of the continuum.- Holonomic systems.- Point systems.- Multibody systems.- Continuum.- Nonholonomic systems.- Relative motion of the coordinate frame.- Moving coordinate system.- Free and holonomic systems.- Nonholonomic systems.- Linearization of the kinematics.- Basics of dynamics.- Dynamics of a point.- Newtons equations.- Types of forces.- Dynamics of the rigid body.- Newtons and Eulers equations.- Mass geometry of the rigid body.- Relative motion of coordinate systems.- Dynamics of the continuum.- Cauchys equations.- Hookes material law.- Reaction stresses.- Principles of mechanics.- Principle of virtual work.- Principle of dAlembert, Jourdain and Gauss.- Principle of minimal potential energy.- Hamiltons principle.- Lagrange equations of first kind.- Lagrange equations of second kind.- Multibody systems.-lÝ